(02.02)Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comm
a 2 and negative 1 comma 2. The line segment is reflected about the x-axis to form E'F'. Which statement describes E'F'? E'F' and EF are equal in length. E'F' is half the length of EF. E'F' is greater than twice the length of EF. E'F' and EF are perpendicular.
2 answers:
Answer:
E'F' and EF are equal in length
Step-by-step explanation:
we have
The coordinates of point E(-3,2) and F(-1,2)
we know that
The rule of the reflection across the x-axis is
(x,y) ------> (x,-y)
so
Applying the rule of reflection across the x-axis
E(-3,2) -------> E'(-3,-2)
F(-1,2) --------> F'(-1,-2)
using a graphing tool
see the attached figure to better understand the problem
therefore
E'F' and EF are equal in length
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Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
c) So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .
Step-by-step explanation:
Data given and notation
n=300 represent the random sample taken
estimated proportion of American families owning stocks or stock funds
is the value that we want to test
represent the significance level
Confidence=99% or 0.99
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
Part a
We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:
Null hypothesis:
Alternative hypothesis:
Part b
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
Part c
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .